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Finding the Third Proportional to 168,800 and 369,808

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Solution

The third proportional to 168,800 and 369,808 is: 810,177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,800 : 369,808 = 369,808 : x
  2. Step 2: Convert to fraction form
    168,800/369,808 = 369,808/x
  3. Step 3: Cross multiply
    168,800x = 369,808 × 369,808
  4. Step 4: Simplify right side
    168,800x = 136,757,956,864
  5. Step 5: Solve for x
    x = 136,757,956,864/168,800
  6. Step 6: Final answer
    x = 810,177.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.